I'm trying to isolate x to find range, but unsure how to manipulate equation.

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In summary, to isolate x in an equation, you need to use algebraic operations such as addition, subtraction, multiplication, and division to manipulate the equation. This allows you to solve for the value of x, which represents the unknown quantity in the equation. Common techniques for isolating x include using the distributive property, combining like terms, and applying inverse operations. It is possible to isolate x in every equation, but some may be more complex and require more steps. If you need help, seek assistance from a teacher, tutor, or online resources and practice different algebraic operations.
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My8th
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Homework Statement


Find Range

Homework Equations


y=8x^2+8x+5

The Attempt at a Solution



y-5=8x^2+8x Subtracted five both sides

(y-1)/8=(x+1)x divided 8 to both sides, and factored x out.

The x^2+x part has me stumped.
 
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Welcome to PF!

Hi My8th! Welcome to PF! :smile:

(try using the X2 button just above the Reply box :wink:)

solve 8x2 + 8x + 5 - y = 0 :wink:
 

FAQ: I'm trying to isolate x to find range, but unsure how to manipulate equation.

How do I isolate x in an equation?

To isolate x in an equation, you need to manipulate the equation using algebraic operations such as addition, subtraction, multiplication, and division. The goal is to get all the terms with x on one side of the equation and all the constants on the other side.

What is the purpose of isolating x in an equation?

Isolating x in an equation allows you to solve for the value of x, which represents the unknown quantity in the equation. This is useful in finding the range of a function or solving for other unknown variables in a mathematical problem.

What are some common techniques for isolating x?

Some common techniques for isolating x include using the distributive property, combining like terms, and applying inverse operations to both sides of the equation. You may also need to use the quadratic formula or other algebraic formulas for more complex equations.

Is it possible to isolate x in every equation?

Yes, it is possible to isolate x in every equation as long as you follow the rules of algebra and use the correct techniques. However, some equations may be more complex and require more steps to isolate x compared to others.

What should I do if I am still unsure how to isolate x?

If you are struggling to isolate x in an equation, you can seek help from a teacher, tutor, or online resources. It's important to practice and familiarize yourself with different algebraic operations to become more confident in isolating variables in equations.

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